Answer:
5 7/12
Step-by-step explanation:
have a great day :)
If I were to tell a kid how to use the formula (the SA of a pyramid it looks like):
First, find the area of the base of the figure, using length times width.
Next, find the perimeter of the base by adding up the length of each side of the base.
Multiply the perimeter of the base by the slant height of the figure, which is the line on the side of the figure that is diagonal.
Divide the answer you got from multiplying the perimeter of the base times the slant height of the base by 2.
Now add up the area of the base of the figure with the answer you just got by dividing the perimeter of the base times the slant height by 2.
That is how you use the formula: SA = B + 1/2(P · l)
Answer:
The area of the shaded region is about 58.9 square inches.
Step-by-step explanation:
To solve this question, let's recall some facts.
We know that the area of a circle can be defined as the following:

where r is the radius of the circle.
We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.
We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.
Now, we can solve the problem.
Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:




After approximation, I can conclude that the area of the shaded region is 58.9 square inches.